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Finding the Fourth Proportional to 267.14, 400.62 and 110.90

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Solution

The fourth proportional to 267.14, 400.62 and 110.90 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.14 : 400.62 = 110.90 : x
  2. Step 2: Convert to fraction form
    267.14/400.62 = 110.90/x
  3. Step 3: Cross multiply
    267.14x = 400.62 × 110.90
  4. Step 4: Simplify right side
    267.14x = 44,428.76
  5. Step 5: Solve for x
    x = 44,428.76/267.14
  6. Step 6: Final answer
    x = 166.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.